In: Advanced Math

Y''+y'-20y=xe^3x+e^4x

Find the general solution of this differential equation

Find a particular solution to the differential equation: y'' -
1y' - 20y = -400t^3

Find the general solution of the differential equation y'' + 4y'
+ 4y = (e-2t/t2)

Find the general solution to the nonhomogeneous differential
equation: y"-y=tsint

Using method of variation of parameters, solve the differential
equation: y''+y'=e^(2x)
Find the general solution, and particular solution using this
method.

Find The solution of the Differential Equation of
(y+4x+2)dx - dy = 0, y(0) = 3 ( Please With Steps)

find the general solution of the given differential
equation.
1. y'' + y = tan t, 0 < t < π/2
2. y'' + 4y' + 4y = t-2 e-2t , t >
0
find the solution of the given initial value problem.
3. y'' + y' − 2y = 2t, y(0) = 0, y'(0) = 1

Find the general solution of this differential equation:
y'''+y''+y'+y=4e^(-t)+4sin(t)

For the following differential equation
y'' + 9y = sec3x,
(a) Find the general solution yh, for the
corresponding homogeneous ODE.
(b) Use the variation of parameters to find the
particular solution yp.

Find the general solution of the differential equation using the
method of undetermined coefficients y" + y' - 6y = x^2

Find a general solution to the differential equation using the
method of variation of parameters.
y''+ 25y= sec5t
The general solution is y(t)= ___
y''+9y= csc^2(3t)
The general solution is y(t)= ___

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